Sketch the lines through the point with the indicated slopes on the same set of coordinate axes. point (-3 -2) (a) 3 (b) -5 (c) 2/3 (d) undefined

Answer with explanation:

Equation of a line passing through point (a,b) and has a slope m is given by :-

From the given picture , given point = (-3,2)

a) Equation of a line passing through point (-3 ,2) and has a slope 3 is given by :-

b) Equation of a line passing through point (-3 ,2) and has a slope -5 is given by :-

c) Equation of a line passing through point (-3 ,2) and has a slope is given by :-

We know that when slope is undefined , then the line is parallel to y axis.

d) The line parallel to y axis and passes through given point : x=-3

[Note , when slope is undefined , it means x-values does not change through out the line ∵ slope = ]

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step-by-step explanation:

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